Design of controller for Lur'e systems guaranteeing dichotomy

In this paper, the problem of controller design for Lur';e systems guaranteeing dichotomy is investigated. On the basis of Kalman-Yakubovich-Popov (KYP) lemma and two frequency equalities, a new methodology for the dichotomy analysis of the Lur';e systems is proposed. A linear matrix inequality (LMI